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Finding the Third Proportional to 109,451 and 232,080

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Solution

The third proportional to 109,451 and 232,080 is: 492,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,451 : 232,080 = 232,080 : x
  2. Step 2: Convert to fraction form
    109,451/232,080 = 232,080/x
  3. Step 3: Cross multiply
    109,451x = 232,080 × 232,080
  4. Step 4: Simplify right side
    109,451x = 53,861,126,400
  5. Step 5: Solve for x
    x = 53,861,126,400/109,451
  6. Step 6: Final answer
    x = 492,102.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.